Can the following angle measures be the interior angles of a triangle: 29°, 29°, and 29° ? Justify your answer.

Given:

The equation is:

[tex](2x+1)(x-2)=0[/tex]

To find:

The values of a, b and b from the standard form.

Solution:

The standard form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]            ....(i)

We have,

[tex](2x+1)(x-2)=0[/tex]

In can be rewritten as

[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]

[tex]2x^2-4x+x-2=0[/tex]

[tex]2x^2-3x-2=0[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]a=2,b=-3,c=-2[/tex]

Therefore, the correct option is C.

Answer:

5a(a + 2)

Step-by-step explanation:

Given

(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL

= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms

= 5a² + 10a ← factor out 5a from each term

= 5a(a + 2)

Answer:

28¢

Step-by-step explanation:

A quarter is 25¢, so 53¢ - 25¢ = 28¢.

Answer:

Smaller sample gives worse data. More samples give better data.

Step-by-step explanation:

A sample is the number of elements that are used in a given experiment.

For example, if you do a survey to 100 random people, then your sample is 100 people.

Here we can see something kinda obvious, if you increase your sample, then more people answer your survey, wich means that more samples give more data, and more data is better, then more sample gives better data.

We also can see that if we have a small sample (for example 10 people) the survey will not be really useful, this happens because if we have really small samples the sample may be biased, and we always want to aboid this.

Then:

Smaller samples give worse data, and as we increase the samples, we also get better data.

The correct option is:

"Smaller sample gives worse data. More samples give better data."

Step-by-step explanation:

here

Answer:

Blue = 30

Green = 24

Red = 54

Orange = 12

Step-by-step explanation:

hahahshahhahahahahahauehfudbrog f ghg

Step-by-step explanation:

I need the graph. I'll answer if you send me the graph that is uses

Answer:

C. 48°

Step-by-step explanation:

Answer:

65.38degrees

Step-by-step explanation:

Given the following

Length of ladder = 12foot = hypotenuse

Distance of the ladder from the wall = 5ft = adjacent

Required

Angle between the ground and the ladder theta

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos theta = 5/12

Cos theta = 0.41667

theta = arccos(0.41667)

theta = 65.38 degrees

Hence the angle between the ground and the floor is 65.38degrees

Answer:

Step-by-step explanation:the answer will be 100

Answer: 4 + 2w

Step-by-step explanation:

The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:

h = 4 + 2(w)

h = 4 + 2w

For example, the height of the tomato plant in inches after 5 weeks will be:

h = 4 + 2w

h = 4 + 2(5)

h = 4 + 10

h = 14 inches

Answer:

subtraction property for sure its that

Answer:

Step-by-step explanation:

So it 22

Answer: 0.007

Step-by-step explanation:

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

Answer:

Volume of given figure = 113.12 cm²

Step-by-step explanation:

Given:

Radius of cylinder = 4/2 = 2cm

Radius of cone = 4/2 = 2 cm

Height of cylinder = 7 cm

Height of cone = 6 cm

Find:

Volume of given figure

Computation:

Volume of given figure = Volume of cylinder + Volume of cone

Volume of given figure = πr²h + (1/3)πr²h

Volume of given figure = (22/7)(2)²(7) + (1/3)(22/7)(2)²(6)

Volume of given figure = (22/7)(4)(7) + (1/3)(22/7)(4)(6)

Volume of given figure = (22)(4) + (22/7)(4)(2)

Volume of given figure = 88 + 25.14

Volume of given figure = 113.12 cm²

Answer: 53 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.

Answer:

Blue

Step-by-step explanation:

Answer:

multiply 6 on both sides

Step-by-step explanation:

you multiply 6 on both sides to get x by its self so your answer in total would be 21

Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

40 / 40 - 34/40  = 6 /40

To transform to the simplest form. divide both the numerator and the denominator by 2

3/20

Answer: 3:8

Step-by-step explanation:

Number of rainy days = 42

Number of sunny days = 112

To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:

= Number of rainy days / Number of sunny days

= 42 / 112

= 3/8

Therefore, the ratio of rainy days to sunny days will be 3:8

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

Answer:

$4.16

Step-by-step explanation:

8% of $52 is 4.16.

In total the item would cost $56.16.

All you do is 52 x .08 = 4.16

Make sure to divide the percentage (8/100=.08) before multiplying.

Answer:

a = 35

Step-by-step explanation:

5/7a = 25

multiply both sides by 7:

5a = 175

divide by 5:

a = 35

Hope this helps !!!

Answer:

360 tons

Step-by-step explanation:

Coke burned : cast iron = 15 : 16

The smelter produces 384 tons of cast iron a day

Let x = tons of coke burned

Coke burned : cast iron = x : 384

Equate both ratios

15 : 16 = x : 384

15/16 = x/384

Cross product

15 * 384 = 16 * x

5,760 = 16x

x = 5,760/16

x = 360

x = tons of coke burned = 360 tons

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Answer:

J

Step-by-step explanation:

If you use a calculator, 3/4 x 60 = 45

It’s the number closet to 100-55

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Answer:

3.11 liters

Step-by-step explanation:

converting mL to L requires dividing by 1000, or moving the decimal point 3 places to the left